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Finding the Fourth Proportional to 29,252.34, 43,878.46 and 9,530.86

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Solution

The fourth proportional to 29,252.34, 43,878.46 and 9,530.86 is: 14,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,252.34 : 43,878.46 = 9,530.86 : x
  2. Step 2: Convert to fraction form
    29,252.34/43,878.46 = 9,530.86/x
  3. Step 3: Cross multiply
    29,252.34x = 43,878.46 × 9,530.86
  4. Step 4: Simplify right side
    29,252.34x = 418,199,459.28
  5. Step 5: Solve for x
    x = 418,199,459.28/29,252.34
  6. Step 6: Final answer
    x = 14,296.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.